106273188 has 96 divisors (see below), whose sum is σ = 333446400. Its totient is φ = 28574208.

The previous prime is 106273187. The next prime is 106273199. The reversal of 106273188 is 881372601.

106273188 is a `hidden beast` number, since 10 + 627 + 3 + 18 + 8 = 666.

It is a super-2 number, since 2×106273188² = 22587980975366688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106273187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8718 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (3473400).

Almost surely, 2^106273188 is an apocalyptic number.

106273188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106273188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166723200).

106273188 is an abundant number, since it is smaller than the sum of its proper divisors (227173212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106273188 is a wasteful number, since it uses less digits than its factorization.

106273188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 106273188 is about 10308.8887858973. Note that the first 3 decimals coincide. The cubic root of 106273188 is about 473.6685713901.

The spelling of 106273188 in words is "one hundred six million, two hundred seventy-three thousand, one hundred eighty-eight".